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55366752 = 2537471753
BaseRepresentation
bin1101001100110…
…1010001100000
310212011220220110
43103031101200
5103133214002
65254411320
71241416050
oct323152140
9125156813
1055366752
1129286951
1216660b40
13b6170bc
1474d3560
154cd9e6c
hex34cd460

55366752 has 96 divisors (see below), whose sum is σ = 169731072. Its totient is φ = 15473664.

The previous prime is 55366733. The next prime is 55366781. The reversal of 55366752 is 25766355.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55366752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30708 + ... + 32460.

It is an arithmetic number, because the mean of its divisors is an integer number (1768032).

Almost surely, 255366752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55366752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84865536).

55366752 is an abundant number, since it is smaller than the sum of its proper divisors (114364320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55366752 is a wasteful number, since it uses less digits than its factorization.

55366752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1812 counting only the distinct ones).

The product of its digits is 189000, while the sum is 39.

The square root of 55366752 is about 7440.8838184721. The cubic root of 55366752 is about 381.1386713551.

The spelling of 55366752 in words is "fifty-five million, three hundred sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 658 672 752 987 1128 1316 1504 1753 1974 2256 2632 3506 3948 4512 5259 5264 7012 7896 10518 10528 12271 14024 15792 21036 24542 28048 31584 36813 42072 49084 56096 73626 82391 84144 98168 147252 164782 168288 196336 247173 294504 329564 392672 494346 576737 589008 659128 988692 1153474 1178016 1318256 1730211 1977384 2306948 2636512 3460422 3954768 4613896 6920844 7909536 9227792 13841688 18455584 27683376 55366752